Five college engineeringstudents are choosing specialized fields of engineering to study. Each student is allowed to select one field. The available fields are Electrical Engineering (EE), Mechanical Engineering (ME), and Computer Engineering (CE).
If the second student does not meet the requirements for ME and the third student does not meet the requirements for CE, then how many ways are there for the students to choose an engineering field?
Assume that there are 10 slots available for each of the three fields, and different students are allowed to choose the same field.
We solve this problem by the “box method”, in which we assign the number of options for each box. We then
apply the Fundamental Counting …
Solution provides steps necessary to solve the problem using the box method and the fundamental counting principle.